Mechanics Of Materials 9th Edition Barry J Goodno, James M Gere - Solutions

A vertical bar is loaded with axial loads at points B, C, and D, as shown in the figure. The bar is made of steel with a modulus of elasticity E = 29,000 ksi. The bar has a cross-sectional area of 8.24 in2. Calculate the displacements at points B, C, and D. Ignore the weight of the bar. A PB = 50
Repeat Problem 2.3-4, but now include the shortening dAC is not to exceed 4.0 mm? weight of the bar. See Table I-1 in Appendix I for the weight density of steel.Problem 2.3-4A vertical bar consists of three prismatic segments A1, A2, and A3 with cross-sectional areas of 6000 mm2, 5000 mm2, and 4000
Repeat Problem 2.3-5, but now include the weight of the bar. See Table I-1 in Appendix I for the weight density of steel.Problem 2.3-5A vertical bar is loaded with axial loads at points B, C, and D, as shown in the figure. The bar is made of steel with a modulus of elasticity E = 29,000 ksi. The
Bar ABC is fixed at both ends (see figure) and has load P applied at B. Find reactions at A and C and displacement dB if P = 200 kN, L = 2 m, t = 20 mm, b1 =100 mm, b2 =115 mm, and E = 96 GPa. 1b2 A 3L/5 X b1 2L/5 ΒΡ - в b2 C
A device consists of a horizontal beam ABC supported by two vertical bars BD and CE. Bar CE is pinned at both ends but bar BD is fixed to the foundation at its lower end. The distance from A to B is 600 mm and from B to C is 350 mm. Bars BD and CE have lengths of 350 mm and 450 mm, respectively,
A flat aluminum alloy bar is fixed at both ends. Segment AB has a slight taper. If the temperature of the bar is raised uniformly by an amount ΔT = 20°F, find reactions at A and C. What is the displacement at B? Assume that L = 3 ft, t = 1/4 in., b1 = 2 in., b2 = 2.5 in., E = 10,400 ksi, and the
Repeat Problem 2.4-8, but assume that the bar is made of aluminum alloy and that BC is prismatic. Assume that P = 20 kips, L = 3 ft, t =1/4 in., b1 = 2 in., b2 = 2.5 in., and E =10,400 ksi.Problem 2.4-8Bar ABC is fixed at both ends (see figure) and has load P applied at B. Find reactions at A and C
A prismatic bar with a length L = 3 ft and cross-sectional area A = 8 in2 is compressed by an axial centroidal load P =10 kips. Determine the complete state of stress acting on an inclined section pq that is cut through the bar at an angle θ = 35°, and show the stresses on a properly oriented
A hollow circular tube T of a length L =15 in. is uniformly compressed by a force P acting through a rigid plate. The outside and inside diameters of the tube are 3.0 and 2.75 in., respectively. A concentric solid circular bar B of 1.5 in. diameters is mounted inside the tube. When no load is
Find support reactions at A and B and then calculate the axial force N, shear force V, and bending moment M at mid-span of AB. Let L = 14 ft, q0 = 12 lb/ft, P = 50 lb, and M0 = 300 lb-ft. Mo A COO L 90 B L/2 P A 3 C
A circular tube AB is fixed at one end and free at the other end. The tube is subjected to axial force at joint B. If the outer diameter of the tube is 3 in. and the thickness is ¾ in., calculate the maximum normal stress in the tube. 5 ft A d = 3 in. B 3 kips
Segments AB and BCD of beam ABCD are pin connected at x = 4 m. The beam is supported by sliding support at A and roller supports at C and D (see figure). A triangularly distributed load with peak intensity of 80 N/m acts on BC. A concentrated moment is applied at joint D.(a) Find reactions at
A square plastic bar (length Lp, side dimension sp =193 mm) is inserted inside a hollow, square, cast iron tube (length Lc = 400 mm, side sc = 200 mm, and thickness tc = 3 mm). tc = 3 mm Cast iron tube ↓ Plastic bar Sp 193 mm- Sc = 200 mm Sp Sc
A space truss is restrained at joints A, B, and C, as shown in the figure. Load P acts in the 1z direction at joint B and in the 2z direction at joint C. Coordinates of all joints are given in terms of dimension variable L (see figure). Let P = 5 kN and L = 2 m.(a) Find the reaction force
Two separate cables AC and BC support a sign structure of weight W =1575 lb attached to a building. The sign is also supported by a pin support at O and a lateral restraint in the z-direction at D.(a) Find the tension in each cable. Neglect the mass of the cables.(b) Find the average stress in each
A plane frame is restrained at joints A and C, as shown in the figure. Members AB and BC are pin connected at B. A triangularly distributed lateral load with a peak intensity of 90 lb/ft acts on AB. A concentrated moment is applied at joint C.(a) Find reactions at supports A and C.(b) Find internal
Repeat Problems 2.3-18, but assume that the bar is made of copper alloy. Calculate the displacements SB and SC if P = 50 kips, L = 5 ft, t = 3 / 8 in., b1 = 2.75 in., b2 = 3 in., and E = 16,000 ksi.Problems 2.3-18A flat brass bar has length L, constant thickness t, and a rectangular cross-section
Two pipe columns (AB, FC) are pin connected to a rigid beam (BCD), as shown in the figure. Each pipe column has a modulus of E, but heights (L1 or L2) and outer diameters (d1 or d2) are different for each column. Assume the inner diameter of each column is 3/4 of the outer diameter. Uniformly
Repeat Problems 2.3-18, but assume that the bar is made of aluminum alloy. If P2 =200 kN, what is P1 so that displacement dC = 0? What is displacement dB? Assume that L= 2 m, t = 20 mm, b1 =100 mm, b2 =115 mm, and E = 72 GPa.Problems 2.3-18A flat brass bar has length L, constant thickness
Plastic bar AB of rectangular cross-section (b = 0.75 in. and h = 1.5 in.) and length L = 2 ft is fixed at A and has spring support (k = 18 kips/in.) at C. Initially, the bar and spring have no stress. When the temperature of the bar is raised by 100°F, the compressive stress on an inclined plane
Find expressions for all support reaction forces in the plane frame with load 2P applied at C, as shown in the figure. Joint A is sliding support, joint D is pinned, and joint F is roller support. Assume that member AC is a flat prismatic bar of length L, width b, and thickness t. Beam ABC is
A compression bar having a square cross-section with sides b = 50 mm is subjected to load P. The bar is constructed from two pieces of wood that are connected by a glued joint along plane pq that is inclined at an angle a = 35°. The allowable stress in the wood in compression is 11.5 MPa and in
A T-frame structure is composed of prismatic beam ABC and non prismatic column DBF that are joined at B by a frictionless pin connection. The beam has sliding support at A and the column is pin supported at F (see figure). Beam ABC and column segment DB have cross-sectional area A; column segment
Repeat Problem 2.3-29 if vertical load P at D is replaced by a horizontal load P at D (see figure).Problem 2.3-29A T-frame structure is composed of prismatic beam ABC and non prismatic column DBF that are joined at B by a frictionless pin connection. The beam has sliding support at A and the column
A circular copper bar with diameter d = 3 in. is subjected to torques T = 30 kip-in. at its ends. Find the maximum shear, tensile, and compressive stresses in the tube and their corresponding strains. Assume that G = 6000 ksi. d = 3 in. -L= 80 in.- T
A copper rod of length L =18.0 in is to be twisted by torques T (see figure) until the angle of rotation between the ends of the rod is 3.08.(a) If the allowable shear strain in the copper is 0.0006 rad, what is the maximum permissible diameter of the rod?(b) If the rod diameter is 0.5 in, what is
A thin-walled steel tube having an elliptical cross-section with constant thickness t (see figure) is subjected to a torque T =18 kip-in. Determine the shear stress and the rate of twist (in degrees per inch) if G =12 X 106 psi, t = 0.2 in, a = 3 in., and b = 2 in. 2a 26
A solid steel shaft ABCDE turns freely in bearings at points A and E. The shaft is driven by the gear at C, which applies a torque T2 = 325 lb-ft. Gears at B and D are driven by the shaft and have resisting torques T1 = 200 lb-ft and T3 = 125 lb-ft, respectively. Segments BC and CD have
Calculate the shear stress and the angle of twist (in degrees) for a steel tube (G = 76 GPa) having the cross-section shown in the figure. The tube has a length L = 1.5 m and is subjected to a torque T =10 kN? r = 50 mm | t = 8 mm b = 100 mm r = 50 mm

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